566222400 has 420 divisors, whose sum is σ = 2212294788. Its totient is φ = 141557760.

The previous prime is 566222399. The next prime is 566222407. The reversal of 566222400 is 4222665.

It can be written as a sum of positive squares in 6 ways, for example, as 61591104 + 504631296 = 7848^2 + 22464^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (566222407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2203072 + ... + 2203328.

Almost surely, 2^566222400 is an apocalyptic number.

566222400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106147394).

566222400 is an abundant number, since it is smaller than the sum of its proper divisors (1646072388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

566222400 is a wasteful number, since it uses less digits than its factorization.

566222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 566222400 is about 23795.4281323115. The cubic root of 566222400 is about 827.2987130706.

The spelling of 566222400 in words is "five hundred sixty-six million, two hundred twenty-two thousand, four hundred".